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2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite series Σ a, to converge to the
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2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite series Σ a, to converge to the sum L E R. (b) For the series 2ー, write down a formula for the kth partial sun 5.- (c) Using your answers to parts (a) and (b), show that Σ n'tn-1. Hint for Part (b: what is T12 -1 91 nn+1
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i 씌:@ci) +ί=J2 e + n exhonential.fom 0% 6チ and (I+i) - C2) 6F TT L 6다 2) 4 (soTt그) 1 33 -(2),砭.e 千 チit it it ioshc) cost - 6 + 6CHi)t 33 KIHi) t di 3 s (ie dt 67 (I-33 2 ie 67 も子 (wi)じ33 (t-iル (- e-2 + e や- ci-) t (i-야-(1-1)t

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